Find the median of the following data: 41, 43, 127, 99, 61, 92, 71, 58, 57 if 58 replaced by 85, what will be the new median.
Given, numbers are:
41, 43, 127, 99, 61, 92, 71, 58, 57
Arrange in ascending order:
41, 43, 57, 58, 61, 71, 92, 99, 127
n = 9 (odd)
Therefore, median = value
=
= 5th value = 61
If 58 is replaced by 85
Then the new value be in order:
41, 43, 57, 61, 71, 85, 92, 99, 127
n = 9 (odd)
Therefore, median =
=
= 5th value = 71